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  1. definition - What is Convolution? - Mathematics Stack Exchange

    Sep 6, 2015 · The definition of convolution is known as the integral of the product of two functions $$(f*g)(t)\int_{-\infty}^{\infty} f(t -\tau)g(\tau)\,\mathrm d\tau$$ But what does the product of the …

  2. Definition of convolution? - Mathematics Stack Exchange

    Based on your connection, it seems to me that convolution therefore defines a different "natural multiplication" between functions if we consider functions $\mathbb{R} \to \mathbb{R}$ as …

  3. What is convolution, how does it relate to inner product?

    Oct 25, 2022 · Convolution is a way of collecting like terms in a discrete or continuous sum. For example, \begin{align} ...

  4. Meaning of convolution? - Mathematics Stack Exchange

    Oct 26, 2010 · I am currently learning about the concept of convolution between two functions in my university course. The course notes are vague about what convolution is, so I was …

  5. Convolution: Laplace vs Fourier - Mathematics Stack Exchange

    Apr 6, 2013 · You ask specifically about convolutions, but the answer is the same. You are either taking the convolution of two functions on the whole real line (in which case you should use …

  6. Can someone intuitively explain what the convolution integral is?

    Intuition for Convolution. A convolution is the amount of an overlap area of one function f as it is shifted over another function g at a given time offset. Example using discrete valued functions. …

  7. real analysis - Convolution of two gaussian functions

    Apr 16, 2016 · You should end up with a new gaussian : take the Fourier tranform of the convolution to get the product of two new gaussians (as the Fourier transform of a gaussian is …

  8. real analysis - On the closedness of $L^2$ under convolution ...

    Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …

  9. Proving commutativity of convolution $(f \\ast g)(x) = (g \\ast f)(x)$

    Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …

  10. Convolution with Gaussian - Mathematics Stack Exchange

    Nov 19, 2018 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …